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Finding the Fourth Proportional to 30,116.57, 41,523.09 and 19,342.43

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Solution

The fourth proportional to 30,116.57, 41,523.09 and 19,342.43 is: 26,668.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,116.57 : 41,523.09 = 19,342.43 : x
  2. Step 2: Convert to fraction form
    30,116.57/41,523.09 = 19,342.43/x
  3. Step 3: Cross multiply
    30,116.57x = 41,523.09 × 19,342.43
  4. Step 4: Simplify right side
    30,116.57x = 803,157,181.56
  5. Step 5: Solve for x
    x = 803,157,181.56/30,116.57
  6. Step 6: Final answer
    x = 26,668.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.